Global stability of an innovation diffusion model for n products

被引：18
|
作者：
Yu, Yumei [1 ]
Wang, Wendi
机构：
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
[2] SW Univ, Dept Math, Chongqing 400715, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 11期
基金：
中国国家自然科学基金;
关键词：
global stability; innovation; diffusion; competition;
D O I：
10.1016/j.aml.2005.11.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An innovation diffusion model is extended to n competing products. The globally asymptotic stability of the system is proved by constructing a Lyapunov function. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1198 / 1201
页数：4
相关论文
共 50 条
  • [1] An innovation diffusion model for three competitive products
    Yu, YM
    Wang, WD
    Zhang, Y
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (10-11) : 1473 - 1481
  • [2] Stability of innovation diffusion model with nonlinear acceptance
    Yu, Yumei
    Wang, Wendi
    ACTA MATHEMATICA SCIENTIA, 2007, 27 (03) : 645 - 655
  • [3] STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE
    于宇梅
    王稳地
    Acta Mathematica Scientia, 2007, (03) : 645 - 655
  • [4] GLOBAL STABILITY OF HYBRID SMOKING MODEL WITH NONLOCAL DIFFUSION
    Djilali, Salih
    Bentout, Soufiane
    Zeb, Anwar
    Saeed, Tareq
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (08)
  • [5] Analysis of optimal sampling for innovation diffusion of contingent products
    Feng, An
    Pu, Yingqin
    Hu, Zhineng
    PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2010, : 463 - 471
  • [6] Interaction among three substitute products: an extended innovation diffusion model
    Furlan, Claudia
    Mortarino, Cinzia
    Zahangir, Mohammad Salim
    STATISTICAL METHODS AND APPLICATIONS, 2021, 30 (01): : 269 - 293
  • [7] Interaction among three substitute products: an extended innovation diffusion model
    Claudia Furlan
    Cinzia Mortarino
    Mohammad Salim Zahangir
    Statistical Methods & Applications, 2021, 30 : 269 - 293
  • [8] A diffusion model for service products
    Shi, Xiaohui
    Chumnumpan, Pattarin
    Fernandes, Kiran
    JOURNAL OF SERVICES MARKETING, 2014, 28 (04) : 331 - 341
  • [9] Global stability for a nonlocal reaction-diffusion population model
    Deng, Keng
    Wu, Yixiang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 25 : 127 - 136
  • [10] Global Stability of a Reaction-Diffusion Malaria/COVID-19 Coinfection Dynamics Model
    Elaiw, Ahmed M.
    Al Agha, Afnan D.
    MATHEMATICS, 2022, 10 (22)
12345